d/(dy)(5x+4y)

Solution

\frac{d}{d y} (5 x + 4 y)

4

Solution steps

\frac{d}{d y} (5 x + 4 y)

Treat

x

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d y} (5 x) + \frac{d}{d y} (4 y)

\frac{d}{d y} (5 x) = 0

\frac{d}{d y} (4 y) = 4

= 0 + 4

Simplify

= 4

\int_{- 1}^{4} (2 x + 4)^{2} d x

\frac{d}{d x} (ln (\frac{2 x}{3}))

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\frac{d}{d x} (sin^{2} (2 x^{3} + 2 x^{2}))